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On functors between categories of modules over trusses

par Brzezinski, Tomasz ;Rybołowicz, Bernard;Saracco, Paolo
Référence Journal of pure and applied algebra, 226, 11, 107091
Publication A Paraître, 2022-11-30

Article révisé par les pairs

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Résumé :

Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of the Eilenberg-Watts theorem and Morita equivalence are formulated. Projective and small-projective modules over trusses are defined and their properties studied.